Nuclear $β$-decay half-lives within the subtracted second random-phase approximation
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| Format: | Preprint |
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2025
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| author | Gambacurta, Danilo Grasso, Marcella |
| author_facet | Gambacurta, Danilo Grasso, Marcella |
| contents | We employ, within the framework of Skyrme energy-density functional theory, the subtracted second random-phase approximation, recently developed for charge-exchange excitations, to compute $β$-decay half-lives in four nuclei, $^{24}$O, $^{34}$Si, $^{78}$Ni, and $^{132}$Sn. Following our recent results on the description of the Gamow-Teller strength, we proceed coherently in the present work by computing $β$-decay half-lives using the bare value of the axial-vector coupling constant $g_A$. Half-lives are thus obtained, within the allowed Gamow-Teller approximation, without the use of any ad hoc quenching factors. A genuine quenching is indeed microscopically introduced in our model owing to the correlations induced by the coupling of one-particle one-hole configurations with two-particle two-hole ones. The role of the so-called $J^2$ terms is also studied. By comparing our results with experimental data, we show a general improvement of $β$-decay half-lives with respect to results obtained within the commonly used Random Phase Approximation (RPA). The inclusion of the two-particle two-hole configurations produces a more fragmented and richer spectrum within the $β$-window, resulting in lower $β$ half-lives with respect to the RPA ones. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_18849 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nuclear $β$-decay half-lives within the subtracted second random-phase approximation Gambacurta, Danilo Grasso, Marcella Nuclear Theory We employ, within the framework of Skyrme energy-density functional theory, the subtracted second random-phase approximation, recently developed for charge-exchange excitations, to compute $β$-decay half-lives in four nuclei, $^{24}$O, $^{34}$Si, $^{78}$Ni, and $^{132}$Sn. Following our recent results on the description of the Gamow-Teller strength, we proceed coherently in the present work by computing $β$-decay half-lives using the bare value of the axial-vector coupling constant $g_A$. Half-lives are thus obtained, within the allowed Gamow-Teller approximation, without the use of any ad hoc quenching factors. A genuine quenching is indeed microscopically introduced in our model owing to the correlations induced by the coupling of one-particle one-hole configurations with two-particle two-hole ones. The role of the so-called $J^2$ terms is also studied. By comparing our results with experimental data, we show a general improvement of $β$-decay half-lives with respect to results obtained within the commonly used Random Phase Approximation (RPA). The inclusion of the two-particle two-hole configurations produces a more fragmented and richer spectrum within the $β$-window, resulting in lower $β$ half-lives with respect to the RPA ones. |
| title | Nuclear $β$-decay half-lives within the subtracted second random-phase approximation |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2506.18849 |